Highest Common Factor of 912, 81719 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 912, 81719 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 912, 81719 is 19 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 912, 81719 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 912, 81719 is 19.
HCF(912, 81719) = 19
HCF of 912, 81719 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 912, 81719 is 19.
Highest Common Factor of 912,81719 is 19
Step 1: Since 81719 > 912, we apply the division lemma to 81719 and 912, to get
81719 = 912 x 89 + 551
Step 2: Since the reminder 912 ≠ 0, we apply division lemma to 551 and 912, to get
912 = 551 x 1 + 361
Step 3: We consider the new divisor 551 and the new remainder 361, and apply the division lemma to get
551 = 361 x 1 + 190
We consider the new divisor 361 and the new remainder 190,and apply the division lemma to get
361 = 190 x 1 + 171
We consider the new divisor 190 and the new remainder 171,and apply the division lemma to get
190 = 171 x 1 + 19
We consider the new divisor 171 and the new remainder 19,and apply the division lemma to get
171 = 19 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 912 and 81719 is 19
Notice that 19 = HCF(171,19) = HCF(190,171) = HCF(361,190) = HCF(551,361) = HCF(912,551) = HCF(81719,912) .
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Frequently Asked Questions on HCF of 912, 81719 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 912, 81719?
Answer: HCF of 912, 81719 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 912, 81719 using Euclid's Algorithm?
Answer: For arbitrary numbers 912, 81719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.